Homotopy groups of complements and non-isolated singularities

Details Homotopy groups of complements and non-isolated singularities Homotopy groups of complements and non-isolated singularities

2002-02-06

arxiv.org/abs/math/0202048v1

Int. Math. Research Notices, 17 (2002), 871-888

Mathematics

Algebraic Geometry

15 pages, one figure

Scientific paper

We obtain sufficient conditions for the vanishing of higher homotopy groups
of the complements to hypersurfaces in ${\mathbb C}^n$ in terms of the behavior
at infinity and relate the monodromy of non isolated singularities to the
position of singularities in generic plane sections.

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